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Finding the Fourth Proportional to 242,968, 364,510.46 and 76,756

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Solution

The fourth proportional to 242,968, 364,510.46 and 76,756 is: 115,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,968 : 364,510.46 = 76,756 : x
  2. Step 2: Convert to fraction form
    242,968/364,510.46 = 76,756/x
  3. Step 3: Cross multiply
    242,968x = 364,510.46 × 76,756
  4. Step 4: Simplify right side
    242,968x = 27,978,364,867.76
  5. Step 5: Solve for x
    x = 27,978,364,867.76/242,968
  6. Step 6: Final answer
    x = 115,152.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.